The aim of this work is the generation of anisotropic meshes which are automatically refined in some regions, typically where we want to solve numerically a PDE whose solution is singular. The basic idea is to consider an initial closed curve and to move this curve by the Hamilton-Jacobi equation on a manifold. Similar ideas could also be useful in image processing, in particular for the active contours method.
The eikonal equation on a manifold. Applications to grid generation or refinement
BAGNERINI, PATRIZIA;
2001-01-01
Abstract
The aim of this work is the generation of anisotropic meshes which are automatically refined in some regions, typically where we want to solve numerically a PDE whose solution is singular. The basic idea is to consider an initial closed curve and to move this curve by the Hamilton-Jacobi equation on a manifold. Similar ideas could also be useful in image processing, in particular for the active contours method.
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